Answer:
answer=11 cm.
Step-by-step explanation:
<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation
is zero
<u>Solution:</u>
For a Quadratic Equation of form :
---- eqn 1
The solution is
Now , the given Quadratic Equation is
---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In
,
is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation
![D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3](https://tex.z-dn.net/?f=D%3D%20b%5E2%20-%204ac%5C%5C%5C%5CD%20%3D%205%5E2%20-%204%281%29%287%29%5C%5C%5C%5CD%20%3D%2025%20-%2028%20%5C%5C%5C%5CD%20%3D%20-3)
Since -3 is less than 0, this means that there are 0 real solutions in this equation.
Answer: C, WXZ and WXU are adjacent angles.
Step-by-step explanation:
A is incorrect because TUX and VUS are vertical angles.
B is incorrect because YXZ and TUX have no relationship.
C is correct because WXZ and WXU are supplementary angles, thus adjacent.
D is inccorect because VUX and TUS are vertical angles.
U would equal 206/86 or 2.39585